The Inhibition of Mixing in Chaotic Quantum Dynamics

Details The Inhibition of Mixing in Chaotic Quantum Dynamics The Inhibition of Mixing in Chaotic Quantum Dynamics

1994-09-09

arxiv.org/abs/cond-mat/9409041v1

Physics

Condensed Matter

20 pages, RevTeX format with 6 Postscript figures appended in uuencoded tar.Z format

Scientific paper

10.1103/PhysRevE.51.1849

We study the quantum chaotic dynamics of an initially well-localized wave packet in a cosine potential perturbed by an external time-dependent force. For our choice of initial condition and with $\hbar$ small but finite, we find that the wave packet behaves classically (meaning that the quantum behavior is indistinguishable from that of the analogous classical system) as long as the motion is confined to the interior of the remnant separatrix of the cosine potential. Once the classical motion becomes unbounded, however, we find that quantum interference effects dominate. This interference leads to a long-lived accumulation of quantum amplitude on top of the cosine barrier. This pinning of the amplitude on the barrier is a dynamic mechanism for the quantum inhibition of classical mixing.

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